Evaluate : `int ((1+"log"x)^(2))/(x)-" dx "`

Explanation

To evaluate the integral \( \int \frac{(1 + \log x)^2}{x} \, dx \), we will follow these steps:

### Step 1: Substitution
Let \( t = 1 + \log x \). Then, we differentiate \( t \) with respect to \( x \):
\[ dt = \frac{1}{x} \, dx \quad \Rightarrow \quad dx = x \, dt = e^{t-1} \, dt \]
Here, we used the fact that \( \log x = t - 1 \) implies \( x = e^{t-1} \).
...